The diagram below shows a sketch of the curve with equation $y=\mathrm{g}(x)$. The curve has asymp

Question

The diagram below shows a sketch of the curve with equation $y=\mathrm{g}(x)$. The curve has asymptotes with equations$x=0$ and $y=2$. The curve crosses the $x$-axis at $A(2,0)$ and $C(7,0)$ and has a turning point at $B(4,-2)$. On separate diagrams, sketch the curves with equations $y=\left| \mathrm{g}(-x) \right|$,[3] $y=\frac{1}{\mathrm{g}(x)}$.[4] For each curve, state clearly the equations of any asymptotes, the coordinates of any turning points and the coordinates of any points where the curves crosses the $x$- and $y$- axes.

Accepted Answer

Graph sketches of $$y = |g(-x)|$$ and $$y = \dfrac{1}{g(x)}$$

2021 NJC Lecture Test

2021 NJC Lecture Test

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